Solve for a (ma)/(th)=i+love

$\frac{m a}{t h} = i + l o v e$

Step 1

Multiply both sides by $t h$ .

$\frac{m a}{t h} (t h) = (i + l o v e) (t h)$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $t h$ .

Cancel the common factor.

$\frac{m a}{t h} (t h) = (i + l o v e) (t h)$

Rewrite the expression.

$m a = (i + l o v e) (t h)$

Simplify the right side.

Simplify $(i + l o v e) (t h)$ .

Apply the distributive property.

$m a = i (t h) + l o v e (t h)$

Simplify the expression.

Move $i$ .

$m a = t h i + l o v e t h$

Reorder $t$ and $h$ .

$m a = h t i + l o v e t h$

Move $e$ .

$m a = h t i + l o v t h e$

Move $v$ .

$m a = h t i + l o t h v e$

Move $t$ .

$m a = h t i + l o h t v e$

Move $o$ .

$m a = h t i + l h o t v e$

Reorder $l$ and $h$ .

$m a = h t i + h l o t v e$

Reorder $h t i$ and $h l o t v e$ .

$m a = h l o t v e + h t i$

Step 3

Divide each term in $m a = h l o t v e + h t i$ by $m$ and simplify.

Divide each term in $m a = h l o t v e + h t i$ by $m$ .

$\frac{m a}{m} = \frac{h l o t v e}{m} + \frac{h t i}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m a}{m} = \frac{h l o t v e}{m} + \frac{h t i}{m}$

Divide $a$ by $1$ .

$a = \frac{h l o t v e}{m} + \frac{h t i}{m}$